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2146396 = 227247233
BaseRepresentation
bin1000001100000001011100
311001001022011
420030001130
51022141041
6114001004
724146500
oct10140134
94031264
102146396
11123668a
12876164
135a1c75
143dc300
152c5e81
hex20c05c

2146396 has 36 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 896448.

The previous prime is 2146393. The next prime is 2146423. The reversal of 2146396 is 6936412.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9096 + ... + 9328.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22146396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

2146396 is an abundant number, since it is smaller than the sum of its proper divisors (2335172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2146396 is a wasteful number, since it uses less digits than its factorization.

2146396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2146396 is about 1465.0583606123. The cubic root of 2146396 is about 128.9941306946.

The spelling of 2146396 in words is "two million, one hundred forty-six thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 233 329 466 658 932 1316 1631 2303 3262 4606 6524 9212 10951 11417 21902 22834 43804 45668 76657 153314 306628 536599 1073198 2146396